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# The diagram above shows all the possible pairs among 5 cats that were

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Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1138
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
The diagram above shows all the possible pairs among 5 cats that were  [#permalink]

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13 Jul 2018, 08:07
00:00

Difficulty:

15% (low)

Question Stats:

72% (01:19) correct 28% (01:40) wrong based on 43 sessions

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Attachment:

gmatbusters (2).jpg [ 9.39 KiB | Viewed 371 times ]
The diagram above shows all the possible pairs among 5 cats that were marked 1, 2, 3, 4 or 5. If the diagram were extended so as to represent 9 cats, how many different pairs would the diagram show then?

A) 18
B) 36
C) 41
D) 45
E) 72

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Joined: 02 Aug 2009
Posts: 7108
Re: The diagram above shows all the possible pairs among 5 cats that were  [#permalink]

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13 Jul 2018, 08:20
gmatbusters wrote:
Attachment:
gmatbusters (2).jpg
The diagram above shows all the possible pairs among 5 cats that were marked 1, 2, 3, 4 or 5. If the diagram were extended so as to represent 9 cats, how many different pairs would the diagram show then?

A) 18
B) 36
C) 41
D) 45
E) 72

This is nothing but choosing 2 out of the total...

choosing 2 out of 5 = $$5C2=5*2=10$$
so choosing 2 out of 9 = $$9C2=\frac{9*8}{2}=36$$
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: The diagram above shows all the possible pairs among 5 cats that were &nbs [#permalink] 13 Jul 2018, 08:20
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